Count the Insects

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An octopus has 8 legs. A hippogriff has 6 legs and 2 pairs of wings. A sphinx has 6 legs and one pair of wings. Now we have all 3 kinds and a total of 18 insects in a cage. We have a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind?

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    5 octopus, 7 hippogriff and 6 sphinx

    Total Count = 5 + 7 + 6 = 18
    Total Legs: 5 x 8 + 7 x 6 + 6 x 6 = 118
    Total wings: 5 x 0 + 7 x 2 + 6 x 1 = 20

    Viji_Pinarayi Expert Answered on 28th February 2023.
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